
from __future__ import annotations

from random import random
from typing import Generic, TypeVar

__lowerCAmelCase     :	Optional[int]       			=  TypeVar('KT')
__lowerCAmelCase     :	Optional[Any]       			=  TypeVar('VT')




class 			UpperCAmelCase_     (					Generic[KT, VT]	):


  '''simple docstring'''







  def __init__(					self     :					Optional[Any]     ,				UpperCamelCase__     :					KT | str = "root"     ,				UpperCamelCase__     :					VT | None = None       )     ->      int:







    """simple docstring"""






    __magic_name__								=			key
    __magic_name__								=			value
    __magic_name__								=			[]
  def __repr__(					self     :					Dict       )     ->      str:







    """simple docstring"""






    return F'''Node({self.key}: {self.value})'''





  @property
  def 				_lowercase				(					self     :					Optional[Any]       )     ->      int:







    """simple docstring"""






    return len(self.forward       )







class 			UpperCAmelCase_     (					Generic[KT, VT]	):


  '''simple docstring'''







  def __init__(					self     :					Dict     ,				UpperCamelCase__     :					float = 0.5     ,				UpperCamelCase__     :					int = 16       )     ->      Any:







    """simple docstring"""






    __magic_name__								=			Node[KT, VT]()
    __magic_name__								=			0
    __magic_name__								=			p
    __magic_name__								=			max_level
  def __str__(					self     :					Union[str, Any]       )     ->      str:







    """simple docstring"""






    __magic_name__								=			list(self       )

    if len(UpperCamelCase__       ) == 0:
      return F'''SkipList(level={self.level})'''

    __magic_name__								=			max((len(str(UpperCamelCase__       )       ) for item in items)     ,				default=4       )
    __magic_name__								=			max(UpperCamelCase__     ,				4       ) + 4

    __magic_name__								=			self.head
    __magic_name__								=			[]

    __magic_name__								=			node.forward.copy()
    lines.append(F'''[{node.key}]'''.ljust(UpperCamelCase__     ,				"""-"""       ) + """* """ * len(UpperCamelCase__       )       )
    lines.append(""" """ * label_size + """| """ * len(UpperCamelCase__       )       )

    while len(node.forward       ) != 0:
      __magic_name__								=			node.forward[0]

      lines.append(
          F'''[{node.key}]'''.ljust(UpperCamelCase__     ,				"""-"""       )
          + """ """.join(str(n.key       ) if n.key == node.key else """|""" for n in forwards       )       )
      lines.append(""" """ * label_size + """| """ * len(UpperCamelCase__       )       )
      __magic_name__								=			node.forward

    lines.append("""None""".ljust(UpperCamelCase__       ) + """* """ * len(UpperCamelCase__       )       )
    return F'''SkipList(level={self.level})\n''' + "\n".join(UpperCamelCase__       )
  def __iter__(					self     :					int       )     ->      List[str]:







    """simple docstring"""






    __magic_name__								=			self.head

    while len(node.forward       ) != 0:
      yield node.forward[0].key
      __magic_name__								=			node.forward[0]
  def 				_lowercase				(					self     :					Union[str, Any]       )     ->      int:







    """simple docstring"""






    __magic_name__								=			1
    while random() < self.p and level < self.max_level:
      level += 1

    return level
  def 				_lowercase				(					self     :					Any     ,				UpperCamelCase__     :					int       )     ->      tuple[Node[KT, VT] | None, list[Node[KT, VT]]]:







    """simple docstring"""






    __magic_name__								=			[]

    __magic_name__								=			self.head

    for i in reversed(range(self.level       )       ):
      # i < node.level - When node level is lesser than `i` decrement `i`.
      # node.forward[i].key < key - Jumping to node with key value higher
      #                             or equal to searched key would result
      #                             in skipping searched key.
      while i < node.level and node.forward[i].key < key:
        __magic_name__								=			node.forward[i]
      # Each leftmost node (relative to searched node) will potentially have to
      # be updated.
      update_vector.append(UpperCamelCase__       )

    update_vector.reverse()  # Note that we were inserting values in reverse order.

    # len(node.forward) != 0 - If current node doesn't contain any further
    #                          references then searched key is not present.
    # node.forward[0].key == key - Next node key should be equal to search key
    #                              if key is present.
    if len(node.forward       ) != 0 and node.forward[0].key == key:
      return node.forward[0], update_vector
    else:
      return None, update_vector
  def 				_lowercase				(					self     :					int     ,				UpperCamelCase__     :					KT       )     ->      Tuple:







    """simple docstring"""






    __magic_name__	,       __magic_name__								=			self._locate_node(UpperCamelCase__       )

    if node is not None:
      for i, update_node in enumerate(UpperCamelCase__       ):
        # Remove or replace all references to removed node.
        if update_node.level > i and update_node.forward[i].key == key:
          if node.level > i:
            __magic_name__								=			node.forward[i]
          else:
            __magic_name__								=			update_node.forward[:i]
  def 				_lowercase				(					self     :					Dict     ,				UpperCamelCase__     :					KT     ,				UpperCamelCase__     :					VT       )     ->      Dict:







    """simple docstring"""






    __magic_name__	,       __magic_name__								=			self._locate_node(UpperCamelCase__       )
    if node is not None:
      __magic_name__								=			value
    else:
      __magic_name__								=			self.random_level()

      if level > self.level:
        # After level increase we have to add additional nodes to head.
        for _ in range(self.level - 1     ,				UpperCamelCase__       ):
          update_vector.append(self.head       )
        __magic_name__								=			level

      __magic_name__								=			Node(UpperCamelCase__     ,				UpperCamelCase__       )

      for i, update_node in enumerate(update_vector[:level]       ):
        # Change references to pass through new node.
        if update_node.level > i:
          new_node.forward.append(update_node.forward[i]       )

        if update_node.level < i + 1:
          update_node.forward.append(UpperCamelCase__       )
        else:
          __magic_name__								=			new_node





  def 				_lowercase				(					self     :					List[Any]     ,				UpperCamelCase__     :					VT       )     ->      VT | None:







    """simple docstring"""






    __magic_name__	,       __magic_name__								=			self._locate_node(UpperCamelCase__       )

    if node is not None:
      return node.value

    return None







def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()
  skip_list.insert("""Key1""",	3   )
  skip_list.insert("""Key2""",	12   )
  skip_list.insert("""Key3""",	41   )
  skip_list.insert("""Key4""",	-19   )

  __magic_name__								=			skip_list.head
  __magic_name__								=			{}
  while node.level != 0:
    __magic_name__								=			node.forward[0]
    __magic_name__								=			node.value

  assert len(A_   ) == 4
  assert all_values["Key1"] == 3
  assert all_values["Key2"] == 12
  assert all_values["Key3"] == 41
  assert all_values["Key4"] == -19

def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()
  skip_list.insert("""Key1""",	10   )
  skip_list.insert("""Key1""",	12   )

  skip_list.insert("""Key5""",	7   )
  skip_list.insert("""Key7""",	10   )
  skip_list.insert("""Key10""",	5   )

  skip_list.insert("""Key7""",	7   )
  skip_list.insert("""Key5""",	5   )
  skip_list.insert("""Key10""",	10   )

  __magic_name__								=			skip_list.head
  __magic_name__								=			{}
  while node.level != 0:
    __magic_name__								=			node.forward[0]
    __magic_name__								=			node.value

  if len(A_   ) != 4:
    print()
  assert len(A_   ) == 4
  assert all_values["Key1"] == 12
  assert all_values["Key7"] == 7
  assert all_values["Key5"] == 5
  assert all_values["Key10"] == 10

def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()
  assert skip_list.find("""Some key"""   ) is None

def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()

  skip_list.insert("""Key2""",	20   )
  assert skip_list.find("""Key2"""   ) == 20

  skip_list.insert("""Some Key""",	10   )
  skip_list.insert("""Key2""",	8   )
  skip_list.insert("""V""",	13   )

  assert skip_list.find("""Y"""   ) is None
  assert skip_list.find("""Key2"""   ) == 8
  assert skip_list.find("""Some Key"""   ) == 10
  assert skip_list.find("""V"""   ) == 13

def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()
  skip_list.delete("""Some key"""   )

  assert len(skip_list.head.forward   ) == 0

def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()

  skip_list.insert("""Key1""",	12   )
  skip_list.insert("""V""",	13   )
  skip_list.insert("""X""",	14   )
  skip_list.insert("""Key2""",	15   )

  skip_list.delete("""V"""   )
  skip_list.delete("""Key2"""   )

  assert skip_list.find("""V"""   ) is None
  assert skip_list.find("""Key2"""   ) is None

def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()

  skip_list.insert("""Key1""",	12   )
  skip_list.insert("""V""",	13   )
  skip_list.insert("""X""",	14   )
  skip_list.insert("""Key2""",	15   )

  skip_list.delete("""V"""   )
  assert skip_list.find("""V"""   ) is None
  assert skip_list.find("""X"""   ) == 14
  assert skip_list.find("""Key1"""   ) == 12
  assert skip_list.find("""Key2"""   ) == 15

  skip_list.delete("""X"""   )
  assert skip_list.find("""V"""   ) is None
  assert skip_list.find("""X"""   ) is None
  assert skip_list.find("""Key1"""   ) == 12
  assert skip_list.find("""Key2"""   ) == 15

  skip_list.delete("""Key1"""   )
  assert skip_list.find("""V"""   ) is None
  assert skip_list.find("""X"""   ) is None
  assert skip_list.find("""Key1"""   ) is None
  assert skip_list.find("""Key2"""   ) == 15

  skip_list.delete("""Key2"""   )
  assert skip_list.find("""V"""   ) is None
  assert skip_list.find("""X"""   ) is None
  assert skip_list.find("""Key1"""   ) is None
  assert skip_list.find("""Key2"""   ) is None

def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()

  skip_list.insert("""Key1""",	12   )
  skip_list.insert("""V""",	13   )
  skip_list.insert("""X""",	142   )
  skip_list.insert("""Key2""",	15   )

  skip_list.delete("""X"""   )

  def traverse_keys(A_   ):
    yield node.key
    for forward_node in node.forward:
      yield from traverse_keys(A_   )

  assert len(set(traverse_keys(skip_list.head   )   )   ) == 4

def a__       (			):






  '''simple docstring'''





  def is_sorted(A_   ):
    return all(next_item >= item for item, next_item in zip(A_,	lst[1:]   )   )

  __magic_name__								=			SkipList()
  for i in range(10   ):
    skip_list.insert(A_,	A_   )
  assert is_sorted(list(A_   )   )
  skip_list.delete(5   )
  skip_list.delete(8   )
  skip_list.delete(2   )
  assert is_sorted(list(A_   )   )
  skip_list.insert(-12,	-12   )
  skip_list.insert(77,	77   )
  assert is_sorted(list(A_   )   )

def a__       (			):






  '''simple docstring'''





  for _ in range(100   ):
    # Repeat test 100 times due to the probabilistic nature of skip list
    # random values == random bugs
    test_insert()
    test_insert_overrides_existing_value()

    test_searching_empty_list_returns_none()
    test_search()

    test_deleting_item_from_empty_list_do_nothing()
    test_deleted_items_are_not_founded_by_find_method()
    test_delete_removes_only_given_key()
    test_delete_doesnt_leave_dead_nodes()

    test_iter_always_yields_sorted_values()

def a__       (			):






  '''simple docstring'''





  __magic_name__								=			SkipList()
  skip_list.insert(2,	"""2"""   )
  skip_list.insert(4,	"""4"""   )
  skip_list.insert(6,	"""4"""   )
  skip_list.insert(4,	"""5"""   )
  skip_list.insert(8,	"""4"""   )
  skip_list.insert(9,	"""4"""   )

  skip_list.delete(4   )

  print(A_   )


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    main()



# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__lowerCAmelCase     :	Tuple       			=  {'configuration_timm_backbone': ['TimmBackboneConfig']}


try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __lowerCAmelCase     :	str       			=  ['TimmBackbone']


if TYPE_CHECKING:
    from .configuration_timm_backbone import TimmBackboneConfig

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_timm_backbone import TimmBackbone

else:
    import sys

    __lowerCAmelCase     :	str       			=  _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)

